Cremona's table of elliptic curves

21360 = 2⁴ · 3 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 89-	Signs for the Atkin-Lehner involutions
Class	21360h	Isogeny class
Conductor	21360	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	46714320 = 24 · 38 · 5 · 89	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 -2  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-121,436]	[a1,a2,a3,a4,a6]
Generators	[-12:4:1]	Generators of the group modulo torsion
j	12346507264/2919645	j-invariant
L	2.7585068494188	L(r)(E,1)/r!
Ω	1.8952479632509	Real period
R	2.910971970852	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5340c1 85440bt1 64080be1 106800ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 21360h1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	-4	0	-2	2	-6	0	-6	-2	10	2	4	2	2	2	2	-10	0	-14	4	-4	-	10

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Quadratic twists for elliptic curve 21360h1

-4	8	-3	5
5340c1	85440bt1	64080be1	106800ca1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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